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2 years ago

13

Somebody please help me with this math question and I’ll give you 26 points please if you are going to submit links do not answe

r me thank you

1 answer:

Marina CMI [18]2 years ago

8 0

$600
4000*.05=200
200*3=600

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Assume that the number of messages input to a communication channel in an Exponential distribution with 7 messages arriving in a

NARA [144]

The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

According to the statement

we have given that the an Exponential distribution with 7 messages arriving in a 10 second period and we have to find the probability that more than 3 messages will arrive during a 30-second interval.

So, For this purpose, we know that the

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

And the given information is that :

3 messages will arrive during a 30-second interval.

Then

Probability = P(X=1) + P(X=2) + P(X=3).Then

The probability become according to the exponential distribution:

$P(X=1)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\\P(X=2)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\\P(X=3)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

And then substitute the values in it then

$Probability = \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\ +\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\ + \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

This is the probability.

So, The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

Learn more about probability here

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1 year ago

Consider the functions f(x) = -2(x-3)² + 2 which is represented by the graph

ehidna [41]

The intervals of the function on the graph are:

Domain = (-∝, ∝)
Range = (-∝, 2]
Increases (-∝, 3]
Decreases [3, ∝)

<h3>The key features of the function?</h3>

The function is given as:

f(x) = -2(x-3)² + 2

See attachment for the graph.

From the graph, we have;

Domain = (-∝, ∝)

Because it takes all real values as its input

Range = (-∝, 2]

Because it has a vertex of (3, 2) and the vertex is a maximum

Also, it increases on the interval (-∝, 3] and decreases on the interval [3, ∝)

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6 0

1 year ago

4) HELP ASAP is about cylinders and stuff and I have to wash dishes and stuff so please help me and if you can show work that wo

Nutka1998 [239]

Answer:

<h2>C. 533.8 ft. squared</h2>

Step-by-step explanation:

Depending on the Pi that you use, the answer should be fairly close, for this I used the full Pi in the equation and got about 534.07 and answer C is closest to that answer so C is the best option.

Hope this helps! Have a good day/night!

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2 years ago

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Adele has 3 64-ounce cartons of orange juice and 3 48-ounce cans of apple juice. How much juice does she have altogether?

ale4655 [162]

I think if u add 364+348 you will get 712

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2 years ago

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Solve the inequality r 4-2(r-14)>0

klasskru [66]

R^4-2(r-14)>0
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r^4-2r+28=0
There is no real solution but there is all real numbers
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2 years ago